Undergraduate MCQ & Objective Questions
The undergraduate level is a crucial phase in a student's academic journey, especially for those preparing for school and competitive exams. Mastering this stage can significantly enhance your understanding and retention of key concepts. Practicing MCQs and objective questions is essential, as it not only helps in reinforcing knowledge but also boosts your confidence in tackling important questions during exams.
What You Will Practise Here
Fundamental concepts in Mathematics and Science
Key definitions and theories across various subjects
Important formulas and their applications
Diagrams and graphical representations
Critical thinking and problem-solving techniques
Subject-specific MCQs designed for competitive exams
Revision of essential topics for better retention
Exam Relevance
Undergraduate topics are integral to various examinations such as CBSE, State Boards, NEET, and JEE. These subjects often feature a mix of conceptual and application-based questions. Common patterns include multiple-choice questions that assess both theoretical knowledge and practical application, making it vital for students to be well-versed in undergraduate concepts.
Common Mistakes Students Make
Overlooking the importance of understanding concepts rather than rote memorization
Misinterpreting questions due to lack of careful reading
Neglecting to practice numerical problems that require application of formulas
Failing to review mistakes made in previous practice tests
FAQs
Question: What are some effective strategies for solving undergraduate MCQ questions?Answer: Focus on understanding the concepts, practice regularly, and review your answers to learn from mistakes.
Question: How can I improve my speed in answering objective questions?Answer: Time yourself while practicing and gradually increase the number of questions you attempt in a set time.
Start your journey towards mastering undergraduate subjects today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!
Q. How many ways can 3 students be selected from a group of 10?
A.
120
B.
90
C.
100
D.
80
Show solution
Solution
The number of ways to select 3 students from 10 is given by 10C3 = 120.
Correct Answer:
A
— 120
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Q. How many ways can 4 different flags be arranged on a pole? (2021)
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Solution
The number of arrangements of 4 distinct flags is 4! = 24.
Correct Answer:
A
— 24
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Q. How many ways can 4 different fruits be selected from 6 available fruits? (2021)
Show solution
Solution
The number of ways to choose 4 fruits from 6 is C(6, 4) = 15.
Correct Answer:
C
— 20
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Q. How many ways can 4 different fruits be selected from 8 available fruits? (2021)
Show solution
Solution
The number of ways to choose 4 fruits from 8 is given by 8C4 = 70.
Correct Answer:
A
— 70
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Q. How many ways can 4 different fruits be selected from 8?
Show solution
Solution
The number of ways to select 4 fruits from 8 is given by 8C4 = 70.
Correct Answer:
B
— 56
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Q. How many ways can 4 different letters be chosen from the word 'COMPUTE'? (2022)
Show solution
Solution
The number of ways is 8C4 = 70.
Correct Answer:
C
— 56
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Q. How many ways can 4 letters be chosen from the word 'COMBINATION'?
A.
210
B.
120
C.
150
D.
180
Show solution
Solution
The number of ways to choose 4 letters from 11 is 11C4 = 330.
Correct Answer:
A
— 210
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Q. How many ways can 4 people be seated in a row of 6 chairs? (2021)
A.
360
B.
720
C.
240
D.
480
Show solution
Solution
The number of ways is 6P4 = 6! / (6-4)! = 360.
Correct Answer:
A
— 360
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Q. How many ways can 4 prizes be distributed among 10 students if each student can receive at most one prize? (2019)
A.
5040
B.
720
C.
1000
D.
1200
Show solution
Solution
The number of ways to distribute 4 prizes among 10 students is 10P4 = 5040.
Correct Answer:
A
— 5040
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Q. How many ways can 4 students be selected from a group of 12? (2014)
A.
495
B.
144
C.
120
D.
220
Show solution
Solution
The number of ways to select 4 students from 12 is given by 12C4 = 495.
Correct Answer:
A
— 495
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Q. How many ways can 4 students be selected from a group of 15?
A.
1365
B.
455
C.
105
D.
210
Show solution
Solution
The number of ways to select 4 students from 15 is given by 15C4 = 1365.
Correct Answer:
A
— 1365
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Q. How many ways can 5 different books be selected from a shelf of 10?
A.
252
B.
120
C.
300
D.
200
Show solution
Solution
The number of ways to choose 5 from 10 is C(10,5) = 252.
Correct Answer:
A
— 252
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Q. How many ways can 5 different cards be chosen from a deck of 52 cards? (2019)
A.
2598960
B.
100
C.
1000
D.
500
Show solution
Solution
The number of ways to choose 5 cards from 52 is given by 52C5 = 2598960.
Correct Answer:
A
— 2598960
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Q. How many ways can 5 different colored balls be arranged in a line? (2016)
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Solution
The number of arrangements of 5 different colored balls is 5! = 120.
Correct Answer:
A
— 120
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Q. How many ways can 5 different letters be arranged if 2 letters are always together?
A.
48
B.
120
C.
240
D.
720
Show solution
Solution
Treat the 2 letters as one unit. So, we have 4 units to arrange: 4! * 2! = 48.
Correct Answer:
C
— 240
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Q. How many ways can 5 different letters be arranged if 2 letters are identical? (2017)
Show solution
Solution
The number of arrangements of 5 letters where 2 are identical is 5! / 2! = 60.
Correct Answer:
B
— 120
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Q. How many ways can 5 different letters be arranged if 2 letters must always be together?
A.
60
B.
120
C.
240
D.
720
Show solution
Solution
Treat the 2 letters as one unit. So, we have 4 units to arrange: 4! * 2! = 48.
Correct Answer:
C
— 240
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Q. How many ways can 5 people be seated in a row of 5 chairs?
Show solution
Solution
The number of arrangements of 5 people in 5 chairs is 5! = 120.
Correct Answer:
A
— 120
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Q. How many ways can 5 students be seated in a row of 8 chairs? (2016)
A.
6720
B.
120
C.
240
D.
360
Show solution
Solution
The number of ways to seat 5 students in 8 chairs is 8P5 = 6720.
Correct Answer:
A
— 6720
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Q. How many ways can 6 different books be arranged on a shelf? (2017)
A.
720
B.
600
C.
840
D.
960
Show solution
Solution
The number of arrangements of 6 different books is 6! = 720.
Correct Answer:
A
— 720
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Q. How many ways can 6 different flags be arranged on a pole? (2023)
A.
720
B.
600
C.
480
D.
360
Show solution
Solution
The number of arrangements of 6 different flags is 6! = 720.
Correct Answer:
A
— 720
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Q. How many ways can 6 different letters be arranged if 2 letters are always together?
A.
120
B.
240
C.
720
D.
1440
Show solution
Solution
Treat the 2 letters as one unit. So, we have 5 units to arrange: 5! = 120. The 2 letters can be arranged in 2! = 2 ways. Total = 120 * 2 = 240.
Correct Answer:
D
— 1440
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Q. How many ways can 6 people be seated in a row? (2017)
A.
720
B.
600
C.
480
D.
360
Show solution
Solution
The number of arrangements of 6 people in a row is 6! = 720.
Correct Answer:
A
— 720
Learn More →
Q. How many ways can 6 people be selected from a group of 10? (2020)
A.
210
B.
120
C.
300
D.
150
Show solution
Solution
The number of ways to select 6 from 10 is C(10, 6) = 210.
Correct Answer:
A
— 210
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Q. How many ways can 7 different books be arranged on a shelf if 3 specific books must be together?
A.
720
B.
120
C.
5040
D.
840
Show solution
Solution
Treat the 3 specific books as one unit. So, we have 5 units to arrange: 5! * 3! = 360.
Correct Answer:
C
— 5040
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Q. How many ways can 8 different books be arranged on a shelf if 3 specific books must be together?
A.
720
B.
5040
C.
40320
D.
2880
Show solution
Solution
Treat the 3 specific books as one unit. So, we have 6 units to arrange: 6! = 720. The 3 books can be arranged in 3! = 6 ways. Total = 720 * 6 = 4320.
Correct Answer:
B
— 5040
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Q. How many ways can 8 different colored balls be arranged in a line?
A.
40320
B.
720
C.
1000
D.
100
Show solution
Solution
The number of arrangements is 8! = 40320.
Correct Answer:
A
— 40320
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Q. How many ways can a committee of 3 be formed from 7 people? (2021)
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Solution
The number of ways to form a committee of 3 from 7 is given by 7C3 = 35.
Correct Answer:
B
— 35
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Q. How many ways can a committee of 4 be formed from 10 people? (2019)
A.
210
B.
120
C.
100
D.
30
Show solution
Solution
The number of ways to form a committee of 4 from 10 is given by 10C4 = 210.
Correct Answer:
A
— 210
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Q. How many ways can a committee of 4 be formed from 8 people? (2019)
Show solution
Solution
The number of ways to form a committee of 4 from 8 is 8C4 = 70.
Correct Answer:
A
— 70
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